On the convergence of a higher order family of methods and its dynamics
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Publication:313670
DOI10.1016/j.cam.2016.04.022zbMath1468.65056OpenAlexW2344482478MaRDI QIDQ313670
Alicia Cordero, Ioannis K. Argyros, Juan Ramón Torregrosa Sánchez, Ángel Alberto Magreñán
Publication date: 12 September 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.04.022
Related Items (4)
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Cites Work
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- Different anomalies in a Jarratt family of iterative root-finding methods
- A new tool to study real dynamics: the convergence plane
- On the convergence of an optimal fourth-order family of methods and its dynamics
- Improved Chebyshev-Halley methods with sixth and eighth order convergence
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Decision model for siting transport and logistic facilities in urban environments: a methodological approach
- Semilocal convergence of a sixth-order Jarratt method in Banach spaces
- Dynamics of a new family of iterative processes for quadratic polynomials
- Dynamics of the King and Jarratt iterations
- On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
- Recurrence relations for Chebyshev-type methods
- Derivative-free high-order methods applied to preliminary orbit determination
- Chaotic dynamics of a third-order Newton-type method
- Chaos in King's iterative family
- A modified Chebyshev's iterative method with at least sixth order of convergence
- Variants of Newton's method using fifth-order quadrature formulas
- Dynamics of a family of Chebyshev-Halley type methods
- Convergence and Applications of Newton-type Iterations
- The solution of Kepler's equation, I
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